New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces-Reference-Cited by-同舟云学术

New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces

Published:2024-02-12 Issue: Volume:23 Page:87-97
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
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Author:

Khaofong Chatuphol¹,Saipara Phachara²,Srathonglang Suphot¹,Padcharoen Anantachai³

Affiliation:

1. Division of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Krungthep, Bangkok, THAILAND

2. Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, Nan, THAILAND

3. Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi, THAILAND

Abstract

In this paper, we present a newly proximal point algorithm for solving minimization and common fixed point problems in CAT(1) spaces. Under some mild conditions, we prove strong and ∆-convergence theorems. Additionally, a convex minimization application and a common fixed point problems in CAT(κ) spaces with the bounded κ ∈ (0, ∞) are provided. Our findings complement and advance the pertinent recent findings in the literature

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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